Question

True or False section. There will be no partial credit for this problem since it’s something everyone ought to know. Either full points are awarded for this problem, or no points are awarded for this problem.

a. A coach is testing his claim that the average height of this year’s MLS defenders is heavier than the past years. Suppose that over the past five years, the mean height of MLS defenders was 6’3.5. The null hypothesis is: p ≤ 6’3.5 and the alternative hypothesis is: p > 6’3.5.

b.A coach is testing his claim that the average height of this year’s MLS defenders is heavier than the past years. Suppose that over the past five years, the mean height of MLS defenders was 6’3.5. The null hypothesis is: p ≤ 6’3.5 and the alternative hypothesis is: p > 6’3.5.

c.The city planner in charge of Detroit is thinking of adding a second Q-line that would circle the entire city limit of Detroit. The city planner wants to know if the majority of the residents are in favor of the second Q-line before pushing the issue further. The null hypothesis is: p > 0.5 and the alternative hypothesis is: p ≤ 0.5

d.Austin’s company golf balls. The golf balls need to be exactly 40 mm in diameter otherwise he must recalibrate his machine. Austin measured 150 golf balls off the production line in order to perform a hypothesis test. The null hypothesis is: p = 40mm and the alternative hypothesis is p ≠ 40mm.

Answer 1

From the given information,

Statements a,b and d are correct.

Statement c is false bacause for statement c, The null hypothesis is: p ≤ 0.5 and the alternative hypothesis is: p > 0.5.

Thank you.